A DTV is not a tourist visa. It is a DTV. Very simple. There are only two tourist visa: Single Entry Tourist Visa, and Multiple Entry Tourist Visa. A DTV is neither.
As long as there is not the term "tourist" in a visa: it is not a tourist visa.
There is no legal reason to prevent a foreigner, one what ever visa he is or no visa, to open a bank account here.
They simply do not like the paperwork. That is all.
So: try different branches, try different banks. Should not take more than a day to find one that opens an account for you: regardless of your visa status.
Of course they "can tax it". But the tax return would be a "zero taxes". Because of the double tax treaty with USA.
However it is kind of silly to pay taxes in USA, instead of canceling your payments there, and pay the taxes here. On the other hand: the tax authorities in USA still demand a tax declaration, and might add a small tax on top of what you pay here. No idea if the paper work is worth it.
But for citizens of other countries: the tax here is much lower.